We saw little evidence (OR reported per SD increase in PUFA desaturase activity) for associations with male and female reproductive cancers (OR = 1.00 [95% CI: 0.99–1.01],Pheterogeneity = 0.25), urinary system cancers (1.03 [0.98–1.07], Pheterogeneity = 0.51), nervous system cancers (0.99 [0.95–1.03], Pheterogeneity = 0.92) or blood cancers (1.01 [0.98–1.04], Pheterogeneity = 0.09) (Fig. 1 and Supplementary Table S8). This evidence concerns the gene PUM3 and nervous system cancer.